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Finding the Fourth Proportional to 11,761.52, 17,644.70 and 3,970.13

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Solution

The fourth proportional to 11,761.52, 17,644.70 and 3,970.13 is: 5,956.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.52 : 17,644.70 = 3,970.13 : x
  2. Step 2: Convert to fraction form
    11,761.52/17,644.70 = 3,970.13/x
  3. Step 3: Cross multiply
    11,761.52x = 17,644.70 × 3,970.13
  4. Step 4: Simplify right side
    11,761.52x = 70,051,674.51
  5. Step 5: Solve for x
    x = 70,051,674.51/11,761.52
  6. Step 6: Final answer
    x = 5,956.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.